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Simplifying 7 = 5(p + -8) + 2 Reorder the terms: 7 = 5(-8 + p) + 2 7 = (-8 * 5 + p * 5) + 2 7 = (-40 + 5p) + 2 Reorder the terms: 7 = -40 + 2 + 5p Combine like terms: -40 + 2 = -38 7 = -38 + 5p Solving 7 = -38 + 5p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-5p' to each side of the equation. 7 + -5p = -38 + 5p + -5p Combine like terms: 5p + -5p = 0 7 + -5p = -38 + 0 7 + -5p = -38 Add '-7' to each side of the equation. 7 + -7 + -5p = -38 + -7 Combine like terms: 7 + -7 = 0 0 + -5p = -38 + -7 -5p = -38 + -7 Combine like terms: -38 + -7 = -45 -5p = -45 Divide each side by '-5'. p = 9 Simplifying p = 9
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